Quantum state transfer between two superconducting resonators by parametric voltage modulation on gated Josephson junctions

Quantum state transfer between elements of superconducting circuits is crucial for quantum information applications, such as initialization, control, and readout of qubit systems. In this talk, we analyze the exchange of excitations between microwave cavities based on parametric resonance. We consider two coupled superconducting coplanar waveguide resonators connected to gated superconductor-semiconductor Josephson junctions on one of their terminals. Periodical modulation of the gate voltage of one of the junctions causes the photon excitations to transfer from one resonator to another. We evaluate the role of non-linearity and dissipation introduced by the super-semi junctions on the accuracy of state transfer. In particular, as the resonators acquire the signatures of the gatemon energy spectrum at strong anharmonicity, such parametric resonance can be used to generate fast, high-fidelity two qubit gates.